Cours Développer

Exercice - Développer une expression

L'énoncé

Utilisez un brouillon et vérifiez ensuite votre réponse


Question 1

Développez \(A =4(6x-5)\)

\(A = 24x -20\)

Question 2

Développez \(B=-4(-2x+7)\)

\(B = 8x-28\)

Question 3

Développez \(C = (8x+5)\times (-4)\)

\(C = -32x -20\)

Question 4

Développez \(D = -6(x+6) +3(3x -5)\)

\(D = -6x-36+9x-15\)
\(D = 3x-51\)

Question 5

Développez \(E = 3x -8(1-5x) \)

\(E = 3x-8+40x\)
\(E = 43x-8\)

Question 6

Développez \(F = 3x-5(9-3x)\)

\(F = 3x-45+15x\)
\(F =18x-45\)

Question 7

Développez \(G = -(5x-7)+(6-4x)\times (-2)\)

\(G = -5x+7-12+8x\)
\(G = 3x-5\)

Question 8

Développez \(H = -\dfrac{1}{3}\left(4x-\dfrac{3}{5}\right)\)

\(H = -\dfrac{4}{3}x+\dfrac{1\times 3}{3\times 5}\)

\(H = -\dfrac{4}{3}x+\dfrac{1}{5}\)

Question 9

Développez \(I = (3x-4)\times\left(\dfrac{-3}{4}\right)\)

\(I = (3x-4)\times\left(\dfrac{-3}{4}\right)\)

\(I = -\dfrac{9}{4}x+\dfrac{4\times 3}{4}\)

\(I = -\dfrac{9}{4}x+3\)

Question 10

Développez \(J = 5\left(x-\dfrac{2}{15}\right)\times (-4)\)

\(J = 5\times (-4)\times\left(x-\dfrac{2}{15}\right)\)

\(J =-20\left(x-\dfrac{2}{15}\right)\)

\(J =-20x+\dfrac{40}{15}\)

\(J =-20x+\dfrac{8\times 5}{3\times 5}\)

\(J =-20x+\dfrac{8}{3}\)